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Imperfect measurements are a prevalent source of error across quantum computing platforms, significantly degrading the logical error rates achievable on current hardware. To mitigate this issue, rich measurement data referred to as soft…

Quantum Physics · Physics 2026-03-18 Joonas Majaniemi , Elisha S. Matekole

The typical model for measurement noise in quantum error correction is to randomly flip the binary measurement outcome. In experiments, measurements yield much richer information - e.g., continuous current values, discrete photon counts -…

Quantum error correction enables the preservation of logical qubits with a lower logical error rate than the physical error rate, with performance depending on the decoding method. Traditional error decoding approaches, relying on the…

Qubit readout is commonly performed by thresholding a collection of analog detector signals to obtain a sequence of single-shot bit values. The intrinsic irreversibility of the mapping from analog to digital signals discards soft…

Quantum Physics · Physics 2014-12-25 B. D'Anjou , W. A. Coish

Quantum error correction offers a promising path for performing quantum computations with low errors. Although a fully fault-tolerant execution of a quantum algorithm remains unrealized, recent experimental developments, along with…

Quantum errors are primarily detected and corrected using the measurement of syndrome information which itself is an unreliable step in practical error correction implementations. Typically, such faulty or noisy syndrome measurements are…

Quantum Physics · Physics 2022-05-06 Nithin Raveendran , Narayanan Rengaswamy , Asit Kumar Pradhan , Bane Vasić

Quantum computers hold the promise of solving computational problems which are intractable using conventional methods. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited…

Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed exponentially as more qubits are added. However, this…

Quantum Physics · Physics 2025-04-08 Rajeev Acharya , Laleh Aghababaie-Beni , Igor Aleiner , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Dave Bacon , Brian Ballard , Joseph C. Bardin , Johannes Bausch , Andreas Bengtsson , Alexander Bilmes , Sam Blackwell , Sergio Boixo , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Yu Chen , Zijun Chen , Ben Chiaro , Desmond Chik , Charina Chou , Jahan Claes , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Alex Davies , Laura De Lorenzo , Dripto M. Debroy , Sean Demura , Michel Devoret , Agustin Di Paolo , Paul Donohoe , Ilya Drozdov , Andrew Dunsworth , Clint Earle , Thomas Edlich , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Lara Faoro , Edward Farhi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Gonzalo Garcia , Robert Gasca , Élie Genois , William Giang , Craig Gidney , Dar Gilboa , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Jonathan A. Gross , Steve Habegger , John Hall , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Francisco J. H. Heras , Stephen Heslin , Paula Heu , Oscar Higgott , Gordon Hill , Jeremy Hilton , George Holland , Sabrina Hong , Hsin-Yuan Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Stephen Jordan , Chaitali Joshi , Pavol Juhas , Dvir Kafri , Hui Kang , Amir H. Karamlou , Kostyantyn Kechedzhi , Julian Kelly , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Seon Kim , Paul V. Klimov , Andrey R. Klots , Bryce Kobrin , Pushmeet Kohli , Alexander N. Korotkov , Fedor Kostritsa , Robin Kothari , Borislav Kozlovskii , John Mark Kreikebaum , Vladislav D. Kurilovich , Nathan Lacroix , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loïck Le Guevel , Justin Ledford , Kenny Lee , Yuri D. Lensky , Shannon Leon , Brian J. Lester , Wing Yan Li , Yin Li , Alexander T. Lill , Wayne Liu , William P. Livingston , Aditya Locharla , Erik Lucero , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Fionn D. Malone , Ashley Maloney , Salvatore Mandrá , Leigh S. Martin , Steven Martin , Orion Martin , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Xiao Mi , Kevin C. Miao , Amanda Mieszala , Reza Molavi , Sebastian Molina , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Hartmut Neven , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Thomas E. O'Brien , William D. Oliver , Alex Opremcak , Kristoffer Ottosson , Andre Petukhov , Alex Pizzuto , John Platt , Rebecca Potter , Orion Pritchard , Leonid P. Pryadko , Chris Quintana , Ganesh Ramachandran , Matthew J. Reagor , David M. Rhodes , Gabrielle Roberts , Eliott Rosenberg , Emma Rosenfeld , Pedram Roushan , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Andrew W. Senior , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Shraddha Singh , Volodymyr Sivak , Jindra Skruzny , Spencer Small , Vadim Smelyanskiy , W. Clarke Smith , Rolando D. Somma , Sofia Springer , George Sterling , Doug Strain , Jordan Suchard , Aaron Szasz , Alex Sztein , Douglas Thor , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Steven Waltman , Shannon X. Wang , Brayden Ware , Kate Weber , Theodore White , Kristi Wong , Bryan W. K. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist

Quantum technologies have the potential to solve certain computationally hard problems with polynomial or super-polynomial speedups when compared to classical methods. Unfortunately, the unstable nature of quantum information makes it prone…

Decoders that provide an estimate of the probability of a logical failure conditioned on the error syndrome ("soft-output decoders") can reduce the overhead cost of fault-tolerant quantum memory and computation. In this work, we construct…

Quantum Physics · Physics 2024-06-04 Nadine Meister , Christopher A. Pattison , John Preskill

Quantum error correcting codes protect quantum information, allowing for large quantum computations provided that physical error rates are sufficiently low. We combine post-selection with surface code error correction through the use of a…

Quantum Physics · Physics 2024-12-23 Samuel C. Smith , Benjamin J. Brown , Stephen D. Bartlett

Quantum error mitigation (QEM) is typically viewed as a suite of practical techniques for today's noisy intermediate-scale quantum devices, with limited relevance once fault-tolerant quantum computers become available. In this work, we…

Quantum Physics · Physics 2025-12-11 Zeyuan Zhou , Shaun Pexton , Aleksander Kubica , Yongshan Ding

Practical quantum computing will require error rates that are well below what is achievable with physical qubits. Quantum error correction offers a path to algorithmically-relevant error rates by encoding logical qubits within many physical…

Quantum Physics · Physics 2025-04-08 Rajeev Acharya , Igor Aleiner , Richard Allen , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Joao Basso , Andreas Bengtsson , Sergio Boixo , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Yu Chen , Zijun Chen , Ben Chiaro , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Dripto M. Debroy , Alexander Del Toro Barba , Sean Demura , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Lara Faoro , Edward Farhi , Reza Fatemi , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Alejandro Grajales Dau , Jonathan A. Gross , Steve Habegger , Michael C. Hamilton , Matthew P. Harrigan , Sean D. Harrington , Oscar Higgott , Jeremy Hilton , Markus Hoffmann , Sabrina Hong , Trent Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Pavol Juhas , Dvir Kafri , Kostyantyn Kechedzhi , Julian Kelly , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Andrey R. Klots , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Pavel Laptev , Kim-Ming Lau , Lily Laws , Joonho Lee , Kenny Lee , Brian J. Lester , Alexander Lill , Wayne Liu , Aditya Locharla , Erik Lucero , Fionn D. Malone , Jeffrey Marshall , Orion Martin , Jarrod R. McClean , Trevor Mccourt , Matt McEwen , Anthony Megrant , Bernardo Meurer Costa , Xiao Mi , Kevin C. Miao , Masoud Mohseni , Shirin Montazeri , Alexis Morvan , Emily Mount , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Hartmut Neven , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , John Platt , Andre Petukhov , Rebecca Potter , Leonid P. Pryadko , Chris Quintana , Pedram Roushan , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Jindra Skruzny , Vadim Smelyanskiy , W. Clarke Smith , George Sterling , Doug Strain , Marco Szalay , Alfredo Torres , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Theodore White , Cheng Xing , Z. Jamie Yao , Ping Yeh , Juhwan Yoo , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu

With the rapid developments in quantum hardware comes a push towards the first practical applications on these devices. While fully fault-tolerant quantum computers may still be years away, one may ask if there exist intermediate forms of…

Quantum Physics · Physics 2020-02-19 Jarrod R. McClean , Zhang Jiang , Nicholas C. Rubin , Ryan Babbush , Hartmut Neven

Quantum error correcting (QEC) codes protect quantum information from decoherence, as long as error rates fall below critical error thresholds. In general, obtaining thresholds implies simulating the QEC procedure using, in general,…

Quantum Physics · Physics 2024-10-17 Luis Colmenarez , Ze-Min Huang , Sebastian Diehl , Markus Müller

Quantum error correction, which utilizes logical qubits that are encoded as redundant multiple physical qubits to find and correct errors in physical qubits, is indispensable for practical quantum computing. Surface code is considered to be…

Machine Learning · Computer Science 2025-09-15 Hoshitaro Ohnishi , Hideo Mukai

Quantum computers require error correction to achieve universal quantum computing. However, current decoding of quantum error-correcting codes relies on classical computation, which is slower than quantum operations in superconducting…

Quantum Physics · Physics 2025-06-11 Pan Zhang

The surface code is one of the most promising candidates for combating errors in large scale fault-tolerant quantum computation. A fault-tolerant decoder is a vital part of the error correction process---it is the algorithm which computes…

Quantum Physics · Physics 2015-09-15 Fern H. E. Watson , Hussain Anwar , Dan E. Browne

Quantum error correction is of crucial importance for fault-tolerant quantum computers. As an essential step towards the implementation of quantum error-correcting codes, quantum non-demolition (QND) measurements are needed to efficiently…

Neural-network decoders can achieve a lower logical error rate compared to conventional decoders, like minimum-weight perfect matching, when decoding the surface code. Furthermore, these decoders require no prior information about the…

Quantum Physics · Physics 2025-07-30 Boris M. Varbanov , Marc Serra-Peralta , David Byfield , Barbara M. Terhal
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